The combined non-relativistic and quasi-neutral limit of two-fluid Euler–Maxwell equations
The combined non-relativistic and quasi-neutral limit of two-fluid Euler–Maxwell equations
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DOI：
10.1007/s00033-015-0569-z
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发表时间：
2015-08
期刊：
影响因子：
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通讯作者：
Yachun Li;Yue-Jun Peng;Shuai Xi
中科院分区：
文献类型：
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作者：
Yachun Li;Yue-Jun Peng;Shuai Xi
本文研究由电子和离子组成的磁化等离子体的双流体欧拉-麦克斯韦方程组。利用渐近展开的方法，分析了具有完备初值的周期问题的非相对论性和拟中性组合极限。证明了小参数问题在有限时间区间内存在唯一解，而相应的极限问题（可压缩Euler方程）存在光滑解.证明是基于能量估计对称化双曲方程和探索之间的耦合的欧拉方程和麦克斯韦方程。
We consider two-fluid Euler–Maxwell equations for magnetized plasmas composed of electrons and ions. By using the method of asymptotic expansions, we analyze the combined non-relativistic and quasi-neutral limit for periodic problems with well-prepared initial data. It is shown that the small parameter problems have a unique solution existing in a finite time interval where the corresponding limit problems (compressible Euler equations) have smooth solutions. The proof is based on energy estimates for symmetrizable hyperbolic equations and on the exploration of the coupling between the Euler equations and the Maxwell equations.